Two-weight norm inequalities for parabolic fractional maximal functions
Classical Analysis and ODEs
2025-09-23 v2
Abstract
We prove two-weight norm inequalities for parabolic fractional maximal functions using parabolic Muckenhoupt weights. In particular, we prove a two-weight, weak-type estimate and Fefferman-Stein type inequalities for the centered parabolic maximal function. We also prove that a parabolic Sawyer-type condition implies the strong-type estimate for the parabolic fractional maximal function. Finally, we prove the strong-type estimate for the centered parabolic maximal function assuming a stronger parabolic Muckenhoupt bump condition.
Keywords
Cite
@article{arxiv.2410.01012,
title = {Two-weight norm inequalities for parabolic fractional maximal functions},
author = {David Cruz-Uribe and Kim Myyryläinen},
journal= {arXiv preprint arXiv:2410.01012},
year = {2025}
}
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20 pages